Any ideas how to recycle sheetrock?

No, I am sorry about the sheetrock. But as for nails you probably won't get paid for them, but you should be able to contact your local recycling center and they can tell you if they have a pile for them. I know in my area we do for different kinds of metals like the cans you eat veggies and soup out of you can turn them over to the recycling center they just don't pay you for the metals.